{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 离散傅里叶变换模型\n",
    "\n",
    "经过前面几篇博客的讲解，我们已经熟悉了傅里叶变换中的很多性质和概念，现在我们把它们整合在一起，来实现一个完整的离散傅里叶变换模型\n",
    "\n",
    "完整的离散傅里叶变换模型包括\n",
    "+ 离散傅里叶信号分析\n",
    "+ 离散傅里叶信号合成\n",
    "\n",
    "由于很多知识点都已经说过了，因此接下来以代码和注释为主，来说明完整的离散傅里叶变换模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "from scipy.fftpack import fft, ifft\n",
    "from scipy.signal import get_window\n",
    "\n",
    "tol = 1e-14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from scipy.io.wavfile import read\n",
    "\n",
    "INT16_FAC = (2**15)-1\n",
    "INT32_FAC = (2**31)-1\n",
    "INT64_FAC = (2**63)-1\n",
    "norm_fact = {'int16':INT16_FAC, 'int32':INT32_FAC, 'int64':INT64_FAC,'float32':1.0,'float64':1.0}\n",
    "\n",
    "def is_power2(num):\n",
    "    return ((num & (num - 1)) == 0) and num != 0\n",
    "\n",
    "def wavread(filename):\n",
    "    fs, x = read(filename)\n",
    "    \n",
    "    x = np.float32(x)/norm_fact[x.dtype.name]\n",
    "    return fs, x\n",
    "\n",
    "def zero_phase_windowing(x, N):\n",
    "    '''\n",
    "    x(numpy array): 输入信号\n",
    "    N(int): 补零后的大小\n",
    "    '''\n",
    "    \n",
    "    M = len(x)\n",
    "    \n",
    "    if(M >= N):                      # 如果x的长度大于N，不需要补零，直接返回\n",
    "        return x\n",
    "    \n",
    "    buffer = np.zeros(N)\n",
    "    hM1 = (M+1)//2\n",
    "    hM2 = M//2\n",
    "    \n",
    "    buffer[:hM1] = x[-hM1:]\n",
    "    buffer[-hM2:] = x[:hM2]\n",
    "    \n",
    "    return buffer\n",
    "\n",
    "def undo_zero_phase_windowing(buffer, M):\n",
    "    \n",
    "    hM1 = (M+1)//2\n",
    "    hM2 = M//2\n",
    "    \n",
    "    y = np.zeros(M)\n",
    "    y[:hM2] = buffer[-hM2:]                                        # 零相位窗口逆操作\n",
    "    y[-hM1:] = buffer[:hM1]\n",
    "    \n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dftAnal(x, w, N):\n",
    "    '''\n",
    "    x(numpy array): 输入信号\n",
    "    w(numpy array): 窗函数生成的信号\n",
    "    N(int): FFT大小\n",
    "    '''\n",
    "    \n",
    "    if not(is_power2(N)):\n",
    "        raise ValueError('FFT size(N) is not a power of 2')            # FFT大小必须为2的次幂\n",
    "        \n",
    "    if(w.size > N):\n",
    "        raise ValueError('Window size(M) is bigger than FFT size')     # 窗大小必须小于等于FFT大小\n",
    "        \n",
    "        \n",
    "    # 加窗 \n",
    "    w = w/sum(w)                                                       # 对窗函数进行归一化\n",
    "    xw = x*w                                                           # 加窗\n",
    "    \n",
    "    # zero-phase windowing\n",
    "    fftbuffer = zero_phase_windowing(xw, N)                             # 零相位窗 + 补零\n",
    "    \n",
    "    X = fft(fftbuffer)                                                 # FFT\n",
    "    hN = (N//2)+1                                                      # 一半大小（包含0），因为FFT是对称的，因此我们只需要一半数据即可\n",
    "    absX = np.abs(X[:hN])\n",
    "    absX[ absX<np.finfo(float).eps ] = np.finfo(float).eps             # 加上eps，防止在log时出错\n",
    "    mX = 20*np.log10(absX)                                             # 计算分贝幅度\n",
    "    X[:hN].real[np.abs(X[:hN].real) < tol] = 0.0\n",
    "    X[:hN].imag[np.abs(X[:hN].imag) < tol] = 0.0\n",
    "    pX = np.unwrap(np.angle(X[:hN]))\n",
    "    \n",
    "    return mX, pX\n",
    "\n",
    "def dftSynth(mX, pX, M):\n",
    "    '''\n",
    "    用DFT合成信号\n",
    "    mX(numpy array):分贝幅度\n",
    "    pX(numpy array):相位\n",
    "    M(int):窗函数大小\n",
    "    '''\n",
    "    \n",
    "    hN = mX.size                                                      # 频谱的一半大小（包括位置0）\n",
    "    N = (hN-1)*2                                                      # FFT 大小\n",
    "    if not(is_power2(N)):\n",
    "        raise ValueError('size of mX is not (N/2)+1')                 # FFT大小必须为2的次幂\n",
    "        \n",
    "    Y = np.zeros(N, dtype=complex)\n",
    "    \n",
    "    Y[:hN] = 10**(mX/20) * np.exp(1j*pX)                              # 从mX和pX中得到一个复数即DFT的结果，正半边\n",
    "    Y[hN:] = 10**(mX[-2:0:-1]/20) * np.exp(1j*pX[-2:0:-1])            # 从mX和pX中得到一个复数即DFT的结果，负半边\n",
    "                                                                      # （由对称性可知，负半边不包括倒数第一个点）\n",
    "    fftbuffer = np.real(ifft(Y))                                      # IFFT\n",
    "    \n",
    "    y = undo_zero_phase_windowing(fftbuffer, M)                       # 零相位窗口逆操作\n",
    "    \n",
    "    return y\n",
    "\n",
    "def dftModel(x, w, N):\n",
    "    mX, pX = dftAnal(x, w, N)\n",
    "    y = dftSynth(mX, pX, w.size)\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x26bdb50a898>]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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SoHnEHLUvfihBZ5vBusTK2dYpRLA4vawFiFiFrzS1OSqIBbygSkbnZW8t04U9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\nJdsiIiIiIgXy/xKbnJFhH1Q9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x26bdb597828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.io.wavfile import read\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "audio_path = 'sounds/oboe-A4.wav'\n",
    "fs, input_x = wavread(audio_path)\n",
    "\n",
    "start_in_second = 0.2\n",
    "start_index = int(fs*start_in_second)\n",
    "M = 511\n",
    "N = 1024\n",
    "x = input_x[start_index:start_index + M]\n",
    "w = get_window('blackman', M)\n",
    "\n",
    "mX, pX = dftAnay(x, w, N)\n",
    "y = dftSynth(mX, pX, M)\n",
    "\n",
    "yy = dftModel(x, w, N)\n",
    "\n",
    "plt.figure(figsize=(12,10))\n",
    "plt.subplot(511)\n",
    "plt.plot(x)\n",
    "\n",
    "plt.subplot(512)\n",
    "plt.plot(mX)\n",
    "\n",
    "plt.subplot(513)\n",
    "plt.plot(pX)\n",
    "\n",
    "plt.subplot(514)\n",
    "plt.plot(y)\n",
    "\n",
    "plt.subplot(515)\n",
    "plt.plot(yy)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
